| Title:
|
Proper uniform algebras are flat (English) |
| Author:
|
Smith, R. C. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
59 |
| Issue:
|
2 |
| Year:
|
2009 |
| Pages:
|
285-286 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this brief note, we see that if $A$ is a proper uniform algebra on a compact Hausdorff space $X$, then $A$ is flat. (English) |
| Keyword:
|
proper uniform algebra |
| Keyword:
|
Hausdorff space |
| MSC:
|
46B20 |
| MSC:
|
46E15 |
| MSC:
|
46J10 |
| idZBL:
|
Zbl 1224.46101 |
| idMR:
|
MR2532380 |
| . |
| Date available:
|
2010-07-20T15:07:25Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140479 |
| . |
| Reference:
|
[1] Michael, E., Pełczyński, A.: A linear extension theorem.Illinois J. Math. 11 (1967), 563-579. MR 0217582, 10.1215/ijm/1256054447 |
| Reference:
|
[2] Nyikos, P., Schäffer, J. J.: Flat spaces of continuous functions.Studia Math. 42 (1972), 221-229. MR 0308761, 10.4064/sm-42-3-221-229 |
| Reference:
|
[3] Pełczyński, A.: Some linear topological properties of separable function algebras.Proc. Amer. Math. Soc. 18 (1967), 652-660. MR 0213883, 10.2307/2035434 |
| Reference:
|
[4] Schäffer, J. J.: Geometry of spheres in normed spaces, Lecture Notes in Pure and Applied Mathematics, No. 20.Marcel-Dekker, Inc., New York-Basel (1976). MR 0467256 |
| Reference:
|
[5] Rudin, W.: Continuous functions on compact spaces without perfect subsets.Proc. Amer. Math. Soc. 8 (1957), 39-42. Zbl 0077.31103, MR 0085475, 10.1090/S0002-9939-1957-0085475-7 |
| . |
